Higher mathematics
Derivatives
Derivative values for power, exponential and trigonometric functions.
Higher mathematics
Power function derivative
(xⁿ)′ = nxⁿ⁻¹→Higher mathematicsQuadratic derivative
(ax²+bx+c)′ = 2ax+b→Higher mathematicsExponential derivative
(eᵏˣ)′ = keᵏˣ→Higher mathematicsNatural logarithm derivative
(ln x)′ = 1 / x→Higher mathematicsSine derivative
(sin x)′ = cos x→Higher mathematicsPower function tangent slope
k = nx₀ⁿ⁻¹→Higher mathematicsSymbolic expression derivative
d/dx f(x)→Higher mathematicsExpression derivative value
f′(x₀)→Higher mathematicsTangent line equation
y = f′(x₀)x + f(x₀) − f′(x₀)x₀→Higher mathematicsPartial derivative with respect to x
∂f/∂x→Higher mathematicsPartial derivative with respect to y
∂f/∂y→Higher mathematicsGradient of a two-variable function
grad f = (∂f/∂x; ∂f/∂y)→Higher mathematicsParametric curve derivative
dy/dx = y′(t)/x′(t)→